A baby weighs 10 pounds at age 1, and four years latter the child's weight is 42 pounds. Assume that childhood weight W (in poun
ds) is linearly related to age t (in years). Create a linear model to predict weight from years. Then, use the model to predict a 10-year-old child's weight.
In this problem, we have been given that there is a baby and the weight of the baby is £10 at birth and it is observed that after four years. That means when time is four years, the weight of the baby, That is observed to be 40 lb. And here, considering the weight of the baby to be increasing linearly with respect to the time. In years, we have to express this weight in terms of. So as we are given that the weight is a linear function of time teeth. So in that case this is the way by which we say that y is a linear function of X. And instead of X, let's put T here. And instead of white, let's put W to indicate that weight is a linear function of time. And as we are given that at birth, that is a physical 20 years. The way it is £10. So we substitute T. S. Zero and ws £10 in this equation. So we're going to get 10 equals zero times A. That's zero plus be solving this, we're gonna get Bs 10 and putting this value of weight as 40 lb and the time has four years as well In the same equation, we're going to get 40 equals four A plus B. And we already have determined B. Let's put that here and solving this, we're going to get the value of a coming out to be seven point fight. And now let's put the values of A. And B back into this equation of W. So we get ws eight times t. That's 7.5 times T Plus B. That's 10. So this is the expression, in fact, we can say this is the linear expression for W with respect to time.
